Multi-Stage Air Defense Missile Trajectory Optimization Using Gauss Pseudospectral Method
Gauss Pseudospectral Method(GPM) is employed to solve a fast trajectory optimization problem for a multistage air defense missile The optimal solution maximizes the final velocity at the time when the missile locates at the predicted intercept point. The GPM is a collocation method where the states and controls are discretized through Lagrange interpolation, and the orthogonal collocation of the dynamics is performed at the Legendre-Gauss points. The original continuous-time two-point boundary value problem thus is discretized to a nonlinear programming. The state equations are not the same in different stages. The trajectory of the air defense missile is thus divided into different phases. The GPM is directly employed in each phase, and adjacent phases are linked together by imposing equality constrains on their boundary nodes to make sure that the position and velocity are continuous. The equality constrains are imposed on the terminal node to make the missile achieve the predicted intercept point The path constrains are imposed to ensure the missiles vertical launch. The results presented in this paper show that the GPM is a viable approach The equality constrains and path constrains can be satisfied. The trajectory optimization not only completes fast, but also enjoys its high accuracy, which promotes the potential usage of GPM.
trajectory optimization gauss pseudospectral method collocation method multi-stage air defense missile
Liu Zhe Dong Changhong
School of Astronautics, Beijing University of Aeronautics and Astronautics, Beijing 100191,China School of Astronautics, Beijing University of Aeronautics and Astronautics, Beijing 100191, China
国际会议
2010 Asia-Pacific International Symposium on Aerospace Technology(2010 亚太航空航天技术研讨会 APISAT 2010)
西安
英文
690-693
2010-09-01（万方平台首次上网日期，不代表论文的发表时间）